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Finding the Third Proportional to 349,926 and 529,749

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Solution

The third proportional to 349,926 and 529,749 is: 801,981.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,926 : 529,749 = 529,749 : x
  2. Step 2: Convert to fraction form
    349,926/529,749 = 529,749/x
  3. Step 3: Cross multiply
    349,926x = 529,749 × 529,749
  4. Step 4: Simplify right side
    349,926x = 280,634,003,001
  5. Step 5: Solve for x
    x = 280,634,003,001/349,926
  6. Step 6: Final answer
    x = 801,981.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.